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Finding the Fourth Proportional to 321,558.76, 443,903.46 and 214,307.56

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Solution

The fourth proportional to 321,558.76, 443,903.46 and 214,307.56 is: 295,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,558.76 : 443,903.46 = 214,307.56 : x
  2. Step 2: Convert to fraction form
    321,558.76/443,903.46 = 214,307.56/x
  3. Step 3: Cross multiply
    321,558.76x = 443,903.46 × 214,307.56
  4. Step 4: Simplify right side
    321,558.76x = 95,131,867,388.16
  5. Step 5: Solve for x
    x = 95,131,867,388.16/321,558.76
  6. Step 6: Final answer
    x = 295,845.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.